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Finding the Fourth Proportional to 507,041.65, 699,725.73 and 277,595.07

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Solution

The fourth proportional to 507,041.65, 699,725.73 and 277,595.07 is: 383,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,041.65 : 699,725.73 = 277,595.07 : x
  2. Step 2: Convert to fraction form
    507,041.65/699,725.73 = 277,595.07/x
  3. Step 3: Cross multiply
    507,041.65x = 699,725.73 × 277,595.07
  4. Step 4: Simplify right side
    507,041.65x = 194,240,413,000.15
  5. Step 5: Solve for x
    x = 194,240,413,000.15/507,041.65
  6. Step 6: Final answer
    x = 383,085.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.